Thermodynamic quantities for the Klein-Gordon equation with a linear plus inverse-linear potential: Biconfluent Heun functions


Creative Commons License

Arda A., TEZCAN C., Sever R.

PRAMANA-JOURNAL OF PHYSICS, cilt.88, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 88 Konu: 2
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s12043-016-1347-y
  • Dergi Adı: PRAMANA-JOURNAL OF PHYSICS

Özet

We study some thermodynamic quantities for the Klein-Gordon equation with a linear plus inverse-linear, scalar potential. We obtain the energy eigenvalues with the help of the quantization rule from the biconfluent Heun's equation. We use a method based on the Euler-MacLaurin formula to analytically compute the thermal functions by considering only the contribution of positive part of the spectrum to the partition function.